Atkin-Lehner |
2- 3+ 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
70950bh |
Isogeny class |
Conductor |
70950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-49774132168200 = -1 · 23 · 33 · 52 · 118 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28028,1826021] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:1415:1] |
Generators of the group modulo torsion |
j |
-97400457847277545/1990965286728 |
j-invariant |
L |
10.013228577362 |
L(r)(E,1)/r! |
Ω |
0.63422172882793 |
Real period |
R |
0.65784226301352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70950ba1 |
Quadratic twists by: 5 |